We construct an hyperinterpolation formula of degree n in the three-dimensional cube, by using the numerical cubature formula for the product Chebyshev measure given by the product of a (near) minimal formula in the square with Gauss–Chebyshev–Lobatto quadrature.
Hyperinterpolation in the cube
DE MARCHI, STEFANO;VIANELLO, MARCO
2008
Abstract
We construct an hyperinterpolation formula of degree n in the three-dimensional cube, by using the numerical cubature formula for the product Chebyshev measure given by the product of a (near) minimal formula in the square with Gauss–Chebyshev–Lobatto quadrature.
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